Search a number
-
+
114301526213 = 71714911535591
BaseRepresentation
bin110101001110011100…
…1101110000011000101
3101221000212111011000202
41222130321232003011
53333042142314323
6124302010220245
711154332641130
oct1523471560305
9357025434022
10114301526213
1144525260456
121a19b424685
13aa17731ca4
1457645c7217
152e8ea7dd28
hex1a9ce6e0c5

114301526213 has 32 divisors (see below), whose sum is σ = 139388428800. Its totient is φ = 91494973440.

The previous prime is 114301526149. The next prime is 114301526291. The reversal of 114301526213 is 312625103411.

It is a cyclic number.

It is not a de Polignac number, because 114301526213 - 26 = 114301526149 is a prime.

It is a super-2 number, since 2×1143015262132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114301522213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20441048 + ... + 20446638.

It is an arithmetic number, because the mean of its divisors is an integer number (4355888400).

Almost surely, 2114301526213 is an apocalyptic number.

It is an amenable number.

114301526213 is a deficient number, since it is larger than the sum of its proper divisors (25086902587).

114301526213 is a wasteful number, since it uses less digits than its factorization.

114301526213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 114301526213 its reverse (312625103411), we get a palindrome (426926629624).

The spelling of 114301526213 in words is "one hundred fourteen billion, three hundred one million, five hundred twenty-six thousand, two hundred thirteen".

Divisors: 1 7 17 119 149 1043 1153 2533 5591 8071 17731 19601 39137 95047 137207 171797 665329 833059 1202579 2920549 5831413 6446423 14162003 20443843 45124961 99134021 109589191 767124337 960517027 6723619189 16328789459 114301526213